Greatest Common Factor of 72/972, 9038/8668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/972, 9038/8668

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 72/972,9038/8668

Given fractions are 72/972,9038/8668

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 72,9038

Greatest Common Factor of Numerators i.e. GCF of 72,9038 is 2 .

LCM of Denominators means LCM of 972,8668 as per the given fractions.

LCM of 972,8668 is 2106324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,9038

GCF of Fractions 72/972,9038/8668 is 2/2106324

2 72, 9038
36, 4519

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 72,9038 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,9038 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 9038

List of positive integer factors of 9038 that divides 9038 without a remainder.

1,2,4519,9038

Greatest Common Factor

We found the factors 72,9038 . The biggest common factor number is the GCF number.
So the greatest common factor 72,9038 is 2.

Lets's calculate LCM of 972,8668

2 972, 8668
2 486, 4334
243, 2167

∴ So the LCM of the given numbers is 2 x 2 x 243 x 2167 = 2106324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2106324

Therefore, the GCF of Fractions 72/972,9038/8668 is 2/2106324

Least Common Multiple of 972,8668 with GCF Formula

Least Common Multiple of 972,8668 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 972,8668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,8668) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(972,8668) x common factors =4 x 1 = 4

LCM(972,8668) = ( 972 × 8668 ) / 4

LCM(972,8668) = 8425296 / 4

LCM(972,8668) = 2106324


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 72/972, 9038/8668

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 72/972, 9038/8668?

Answer: GCF of Numerators as per given numbers 72/972, 9038/8668 is

GCF of Numerators i.e. for 72,9038 is 2

LCM of denominators i.e. for 972,8668 is 2106324.

Thus, GCF of Fractions is 2/2106324.Finally, GCF of Fractions for 72/972, 9038/8668 is 2/2106324.